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120364040 = 2353009101
BaseRepresentation
bin1110010110010…
…01110000001000
322101111010102102
413023021300020
5221303122130
615535452532
72661035366
oct713116010
9271433372
10120364040
1161a40315
1234387148
131bc23834
1411db2636
15a878645
hex72c9c08

120364040 has 16 divisors (see below), whose sum is σ = 270819180. Its totient is φ = 48145600.

The previous prime is 120364033. The next prime is 120364043. The reversal of 120364040 is 40463021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 118679236 + 1684804 = 10894^2 + 1298^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (120364043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1504511 + ... + 1504590.

Almost surely, 2120364040 is an apocalyptic number.

120364040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120364040 is an abundant number, since it is smaller than the sum of its proper divisors (150455140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120364040 is a wasteful number, since it uses less digits than its factorization.

120364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009112 (or 3009108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 120364040 is about 10971.0546439255. The cubic root of 120364040 is about 493.7406890302.

The spelling of 120364040 in words is "one hundred twenty million, three hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 3009101 6018202 12036404 15045505 24072808 30091010 60182020 120364040